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本文研究非自共轭椭圆特征值问题有限元插值校正方案.基于插值校正和广义Rayleigh商加速技巧, 用三角形线性元二次插值、双二次元双四次插值得到了较好的结果,并用三线性元的三二次插值将插值校正推广到三维.
In this paper the problem of construction of lattice optimal interpolation formulas in the space ]L(m) 2 (0, 1) is considered.
In this paper, we study the behavior of Ricci-flat K¨ahler metrics on Calabi-Yau manifolds under algebraic geometric surgeries: extremal transitions or flops. We prove a version of Candelas and de la ...
We investigate the parametrization issue for discrete-time stable allpass multivariable systems by means of a Schur algorithm involving a Nudelman interpolation condition.
In this paper we derive accurate numerical methods for the quantum Boltzmann equation for a gas of interacting bosons. The schemes preserve the main physical features of the continuous problem, namely...
We consider Nevanlinna-Pick interpolation in the setting of a special class of algebraic curves called distinguished varieties.An interpolation theorem, along with additional operator theoretic resul...
In this paper, we show that the convergence order of the numerical scheme introduced in [12] for sweeping processes is equal to one. The considered differential inclusions involve a set-valued map, gi...
We analyze the radial symmetry of extremals for a class of interpolation inequalities known as Caffarelli-Kohn-Nirenberg inequalities, and for a class of weighted logarithmic Hardy inequalities which ...
In this paper, an equivalence between existence of particular exponential Riesz bases for multivariate bandlimited functions and existence of certain polynomial interpolants for these bandlimited fun...
Let dμ be a probability measure on the unit circle and d be the measure formed by adding a pure point to dμ. We give a formula for the Verblunsky coefficients of d, based on a result of Simon.
Given an operator ideal I, a Banach space E has the I-approximation property if operators on E can be uniformly approximated on com-pact subsets of E by operators belonging to I. In this paper the I-a...
Given a sequence of real numbers, we consider its subsequences con-verging to possibly different limits and associate to each of them an index of convergence which depends on the density of the associ...
Let  = {xj}n j =1 be a grid of n points in the d-cube Id := [0, 1]d, and  = {'j}n j=1 a family of n functions on Id. We define the linear sampling algorithm Ln(, , ·) for an approximate recovery o...
Let I be an ideal sheaf on Pn. In the first part of this paper, we bound the asymptotic regularity of powers of I as ps − 3  regIp  ps + e,where e is a constant and s is the s-invariant of I. ...
本文讨论了平面的三方向正则网格上二元箱样条的基插值及其导数问题. 改进和推扩了de Boor及Hollig等人的结果. 然后给出了当“次数趋于无穷”时基插值的收敛性及误差估计.

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